The given graph shows the displacement versus time relation for a disturbance travelling with velocity of 1200ms-1. calculate the frequency of the disturbance.
Answers
ANSWER
Let us consider the following definitions.
The frequency (f) of a wave is the number of full wave forms generated per second. This is the same as the number of repetitions per second or the number of oscillations per second.
Time Period (T) is the number of seconds per waveform, or the number of seconds per oscillation. It is clear that frequency and period are reciprocals.
That is, T=
f
1
.
Wavelength (λ) is the distance between two successive points on a wave that are in the same state of oscillation.
The velocity of the wave is calculated using the formula v=
T
λ
.
Therefore, the wavelength is calculated using the formula λ=v×T.
Given that the velocity of the wave is given as 1500m/s,
Time period for one wave is 2μs=2×10
−6
s
The wavelength λ=v×T = 1500×2×10
−6
m=3×10
3
×10
−6
m=3×10
−3
m.
Hence, the wavelength of the disturbance is 3×10
−3
m.
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